EP 1096661 A2 20010502 - Oscillator phase noise prediction
Title (en)
Oscillator phase noise prediction
Title (de)
Vorhersage des Phasenrauschens eines Oszillators
Title (fr)
Prédiction du bruit de phase d'un oscillateur
Publication
Application
Priority
US 41101599 A 19991001
Abstract (en)
The phase noise of an oscillator described by a known set of differential algebraic equations (DAEs) can be quickly and accurately predicted by a) finding the steady state waveform of the oscillator, e.g., by using harmonic balance techniques or so-called "shooting" techniques, either of which involves developing a mathematical quantity known as the augmented Jacobian matrix; b) solving a prescribed linear system of equations that uses the augmented Jacobian matrix, the solution being called a perturbation projection vector (PPV), c) plotting a graph of the phase noise of the oscillator as a Lorentzian function of the solution of the prescribed linear system of equations. The prescribed linear system of equations which is used is the system of equations formed by setting a matrix product equal to a unit vector. The factors in the matrix product are 1) a form of the augmented Jacobian matrix, e.g., the Hermitian, for use with the harmonic balance technique, or the adjoint, for use with shooting, and 2) the PPV. The variables of the Lorentzian function of the solution of the prescribed linear system of equations includes 1) the frequency at which the phase noise is to be found, 2) a jitter factor determined for the oscillator, and 3) the steady state waveform of the oscillator, which includes the natural frequency of the oscillator. The jitter factor for the oscillator is determined using the PPV. <IMAGE>
IPC 1-7
IPC 8 full level
H03B 1/00 (2006.01)
CPC (source: EP US)
H03B 1/00 (2013.01 - EP US); H03B 2200/009 (2013.01 - EP US)
Designated contracting state (EPC)
FR
DOCDB simple family (publication)
EP 1096661 A2 20010502; EP 1096661 A3 20030514; US 6529859 B1 20030304
DOCDB simple family (application)
EP 00308100 A 20000918; US 41101599 A 19991001